36416520 has 128 divisors (see below), whose sum is σ = 138758400. Its totient is φ = 8322048.

The previous prime is 36416503. The next prime is 36416531. The reversal of 36416520 is 2561463.

36416520 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 652 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5152 + ... + 9968.

It is an arithmetic number, because the mean of its divisors is an integer number (1084050).

Almost surely, 2^36416520 is an apocalyptic number.

36416520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69379200).

36416520 is an abundant number, since it is smaller than the sum of its proper divisors (102341880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36416520 is a wasteful number, since it uses less digits than its factorization.

36416520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36416520 is about 6034.6101779651. The cubic root of 36416520 is about 331.4612882458.

Adding to 36416520 its reverse (2561463), we get a palindrome (38977983).

The spelling of 36416520 in words is "thirty-six million, four hundred sixteen thousand, five hundred twenty".